Class information for:
Level 1: TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19062 524 13.0 35%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
2872 2             HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC 2870
19062 1                   TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE 524

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TRIANGULARIZABILITY authKW 1001728 4% 90% 19
2 INVARIANT SUBSPACE authKW 893759 18% 16% 94
3 EXTENDED EIGENVALUE authKW 874087 3% 100% 15
4 SKEW LATTICE authKW 645478 2% 92% 12
5 DUHAMEL PRODUCT authKW 587579 2% 92% 11
6 SKEW BOOLEAN ALGEBRA authKW 524452 2% 100% 9
7 QUASINILPOTENT OPERATORS authKW 504268 3% 58% 15
8 EXTENDED EIGENVECTOR authKW 466180 2% 100% 8
9 EXTREMAL VECTORS authKW 407907 1% 100% 7
10 SPECTRAL RADIUS ALGEBRAS authKW 349635 1% 100% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 27776 98% 0% 512
2 Mathematics, Applied 2546 28% 0% 148
3 Logic 12 0% 0% 2
4 Multidisciplinary Sciences 0 0% 0% 2
5 Computer Science, Artificial Intelligence -1 0% 0% 2
6 Computer Science, Theory & Methods -1 0% 0% 2
7 Statistics & Probability -1 0% 0% 1
8 Physics, Mathematical -2 0% 0% 1
9 Physics, Multidisciplinary -8 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GUZELYURT KKTC 104888 1% 60% 3
2 ISPARTA VOCAT 66591 1% 29% 4
3 COMP TECHNOL MATH SCI 58272 0% 100% 1
4 JESUS MARY 47673 1% 27% 3
5 PURE MATH 36137 8% 1% 42
6 CASEM CIENCIAS MAR AMBIENTALES 29135 0% 50% 1
7 GRANT MACEWAN 29135 0% 50% 1
8 MATH CS 25945 1% 6% 7
9 MATH INFORMAT BEHAV SEMANT 13505 1% 6% 4
10 COMP COMMUN TECHNOL MATH 11914 1% 7% 3

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TRENDS IN MATHEMATICS 28859 4% 3% 19
2 JOURNAL OF OPERATOR THEORY 26237 5% 2% 24
3 STUDIA MATHEMATICA 21675 6% 1% 33
4 INTEGRAL EQUATIONS AND OPERATOR THEORY 13772 4% 1% 23
5 POSITIVITY 13350 1% 4% 6
6 LINEAR & MULTILINEAR ALGEBRA 9933 3% 1% 15
7 JOURNAL OF FUNCTIONAL ANALYSIS 9747 6% 1% 33
8 LINEAR ALGEBRA AND ITS APPLICATIONS 9338 8% 0% 43
9 SEMIGROUP FORUM 8138 3% 1% 18
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7008 9% 0% 45

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 TRIANGULARIZABILITY 1001728 4% 90% 19 Search TRIANGULARIZABILITY Search TRIANGULARIZABILITY
2 INVARIANT SUBSPACE 893759 18% 16% 94 Search INVARIANT+SUBSPACE Search INVARIANT+SUBSPACE
3 EXTENDED EIGENVALUE 874087 3% 100% 15 Search EXTENDED+EIGENVALUE Search EXTENDED+EIGENVALUE
4 SKEW LATTICE 645478 2% 92% 12 Search SKEW+LATTICE Search SKEW+LATTICE
5 DUHAMEL PRODUCT 587579 2% 92% 11 Search DUHAMEL+PRODUCT Search DUHAMEL+PRODUCT
6 SKEW BOOLEAN ALGEBRA 524452 2% 100% 9 Search SKEW+BOOLEAN+ALGEBRA Search SKEW+BOOLEAN+ALGEBRA
7 QUASINILPOTENT OPERATORS 504268 3% 58% 15 Search QUASINILPOTENT+OPERATORS Search QUASINILPOTENT+OPERATORS
8 EXTENDED EIGENVECTOR 466180 2% 100% 8 Search EXTENDED+EIGENVECTOR Search EXTENDED+EIGENVECTOR
9 EXTREMAL VECTORS 407907 1% 100% 7 Search EXTREMAL+VECTORS Search EXTREMAL+VECTORS
10 SPECTRAL RADIUS ALGEBRAS 349635 1% 100% 6 Search SPECTRAL+RADIUS+ALGEBRAS Search SPECTRAL+RADIUS+ALGEBRAS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 KUDRYAVTSEVA, G , LEECH, J , (2016) FREE SKEW BOOLEAN ALGEBRAS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 26. ISSUE 7. P. 1323 -1348 19 95% 0
2 KINYON, M , LEECH, J , COSTA, JP , (2015) DISTRIBUTIVITY IN SKEW LATTICES.SEMIGROUP FORUM. VOL. 91. ISSUE 2. P. 378 -400 19 95% 1
3 DRNOVSEK, R , KANDIC, M , (2016) IDEAL-TRIANGULARIZABILITY AND COMMUTATORS OF CONSTANT SIGN.OPERATORS AND MATRICES. VOL. 10. ISSUE 1. P. 1 -13 16 100% 1
4 COSTA, JP , CVETKO-VAH, K , (2016) FLAT COSET DECOMPOSITIONS OF SKEW LATTICES.SEMIGROUP FORUM. VOL. 92. ISSUE 2. P. 361 -376 14 100% 0
5 GAO, NS , (2014) ON COMMUTING AND SEMI-COMMUTING POSITIVE OPERATORS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 142. ISSUE 8. P. 2733 -2745 15 94% 3
6 DRNOVSEK, R , (2001) COMMON INVARIANT SUBSPACES FOR COLLECTIONS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 39. ISSUE 3. P. 253-266 17 100% 18
7 COSTA, JP , (2012) COSET LAWS FOR CATEGORICAL SKEW LATTICES.ALGEBRA UNIVERSALIS. VOL. 68. ISSUE 1-2. P. 75 -89 12 100% 2
8 SIROTKIN, G , WALLIS, B , (2016) ALMOST-INVARIANT AND ESSENTIALLY-INVARIANT HALFSPACES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 507. ISSUE . P. 399 -413 11 100% 0
9 DRNOVSEK, R , KANDIC, M , (2014) FROM LOCAL TO GLOBAL IDEAL-TRIANGULARIZABILITY.LINEAR & MULTILINEAR ALGEBRA. VOL. 62. ISSUE 12. P. 1616 -1628 12 92% 0
10 RADJAVI, H , YAHAGHI, BR , (2012) ON IRREDUCIBLE ALGEBRAS SPANNED BY TRIANGULARIZABLE MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 7. P. 2001-2007 11 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23177 ORDER CONTINUOUS NORM//SCI ECON JURID SOCIALES//BANACH LATTICE
2 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
3 22477 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
4 13228 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
5 23844 SUBNORMS//CONVENIENT SETTING//SUBMODULI
6 14511 SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA
7 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
8 35315 EMBEDDING INTO MATRICES//IRREDUCIBLE NORMAL FORM//LOWER BAER RADICAL
9 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
10 12607 STRICTLY SINGULAR OPERATOR//SZLENK INDEX//KRUGLOV PROPERTY

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